Properties

Label 13.64-20.0.4-4-8.32
Genus \(13\)
Quotient genus \(0\)
Group \(C_4^2:C_4\)
Signature \([ 0; 4, 4, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $13$
Quotient genus: $0$
Group name: $C_4^2:C_4$
Group identifier: $[64,20]$
Signature: $[ 0; 4, 4, 8 ]$
Conjugacy classes for this refined passport: $20, 24, 26$

Jacobian variety group algebra decomposition:$E\times E\times E\times A_{2}\times E^{2}\times A_{2}^{2}\times E^{2}$
Corresponding character(s): $5, 7, 12, 19, 21, 25, 26$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.64-20.0.4-4-8.32.1

  (1,24,3,22) (2,23,4,21) (5,20,7,18) (6,19,8,17) (9,32,11,30) (10,31,12,29) (13,28,15,26) (14,27,16,25) (33,56,35,54) (34,55,36,53) (37,52,39,50) (38,51,40,49) (41,64,43,62) (42,63,44,61) (45,60,47,58) (46,59,48,57)
  (1,40,6,35) (2,39,5,36) (3,37,8,34) (4,38,7,33) (9,47,14,44) (10,48,13,43) (11,46,16,41) (12,45,15,42) (17,64,22,59) (18,63,21,60) (19,61,24,58) (20,62,23,57) (25,56,30,51) (26,55,29,52) (27,53,32,50) (28,54,31,49)
  (1,56,16,57,2,55,15,58) (3,53,14,60,4,54,13,59) (5,52,12,61,6,51,11,62) (7,49,10,64,8,50,9,63) (17,46,32,36,18,45,31,35) (19,47,30,33,20,48,29,34) (21,42,28,40,22,41,27,39) (23,43,26,37,24,44,25,38)